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Finding the Fourth Proportional to 25,735.90, 38,595.65 and 8,201.63

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Solution

The fourth proportional to 25,735.90, 38,595.65 and 8,201.63 is: 12,299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.90 : 38,595.65 = 8,201.63 : x
  2. Step 2: Convert to fraction form
    25,735.90/38,595.65 = 8,201.63/x
  3. Step 3: Cross multiply
    25,735.90x = 38,595.65 × 8,201.63
  4. Step 4: Simplify right side
    25,735.90x = 316,547,006.92
  5. Step 5: Solve for x
    x = 316,547,006.92/25,735.90
  6. Step 6: Final answer
    x = 12,299.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.